Poisson Geometry
Poisson Geometry
Boris Dubrovin (SISSA)
First lecture: Tuesday, April 4, at 10:30, Room F.
Programme
 Darboux coordinates for Poisson brackets
 Geometry of linear and quadratic Poisson brackets. LiePoisson
groups.

Poisson cohomology.
 Variational bicomplex. Applications to the inverse problem of calculus
of variations.

Geometry of local Poisson structures on loop spaces.

Bihamiltonian structures and Frobenius manifolds.